Sentence examples for is precisely defined as from inspiring English sources

The calculation process of a triangular triple integral in the 3D space is precisely defined as follows.

The calculation process of the triangular quadruple integral in the 4D time-space is precisely defined as follows.

The calculation process of the triangular triple integral for a 3-variable function in the 3D space is precisely defined as the single limit of triple dependent sums by (3.52) in Definition 6.

The calculation process of the triangular double integral for a 2-variable function on the 2D plane is precisely defined as the single limit of double dependent sums by (2.30) in Definition 3.

where D is a domain and the index is summed over β = 1, 2. The calculation process of the triangular double integral on the 2D plane is precisely defined as follows.

The calculation process of the triangular quadruple integral for a 4-variable function in the 4D time-space is precisely defined as the single limit of quadruple dependent sums by (4.111) in Definition 9.

Switches are precisely defined as follows: starting from a certain TES, if fixing the value of a node from all phases of each attractor of that TES the system goes always in the same attractor (when the threshold is increased), then the perturbed node is a switch (in that TES).

In its simplest guise, reporter technology involves cloning either the known promoter region or, if this sequence has not been precisely defined, as is often the case, then all or part of the 5′ intergenic sequence upstream of a reporter gene, such as gfp, in an appropriate base plasmid (e.g. reference [ 4]) to generate a so-called transcriptional reporter.

At this point, the etiologic origin of the ductal ectasia phenotype cannot be precisely defined, as more than one process can be contributing to it, including the intraductal persistence of ABs and its resultant proinflammatory response and/or the chronic inflammation due to defective autophagy-induced cell susceptibility to metabolic and tissue stressors.

The size and geometry of the phantom is precisely defined and thereby serves as a gold standard for quantitative comparisons, based on which benchmarks can be obtained and operational limits can be set.

This constraint, as well as some variants, is precisely defined; their shape derivatives are computed in the sense of Hadamard's method, and numerical strategies are extensively discussed, in two and three space dimensions, to efficiently deal with the appearance of overhang features in the course of shape optimization processes.